document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=76118>Question 76118</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A hand of 12 cards is dealt from a well- shuffled standard 52 card deck of cards. What is the probability that the hand contains 4 jacks? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54640 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=54640\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Number of ways to pick the four jacks = 4C4<BR>\n" );
document.write( "Number of ways to pick the other 8 cards from 48= 48C8<BR>\n" );
document.write( "Number of ways to pick a hand of 12 from the full deck = 52C12<BR>\n" );
document.write( "P(4 J's and 8 others)= [4C4*48C8]/52C12 = 377348994/2.06379...x10^11<BR>\n" );
document.write( "=0.001828...<BR>\n" );
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document.write( "This is the same as the probability of picking 8 cards that are not<BR>\n" );
document.write( "jacks in a hand of 12 cards or 48C8/52C12.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );